Hi Vie,
For a typical install, the install or starterkit package will meet your needs. The source package is really only necessary when you plan to recompile the core, and you would not do that on the hosting machine itself.
Your error message indicates that you are missing the type DotNetNuke.Common.Global. This type is located in the DotNetNuke assembly (DotNetNuke.dll). Check your application's bin directory to make sure the file is not missing.
Beyond that, I do not have a tremendous amount of experience debugging installation problems in a hosting environment -- I've really only been involved in installing it on dedicated servers. I will have to defer to the expertise of others in further diagnosing your issue.
Brandon